Description
Ratti and McWaters created their text from years of combined lecture notes and firsthand experience with students, resulting in a strong preparation for calculus. An emphasis on concept development, real-life applications, extensive exercises encourage deep understanding for students.
Precalculus: Essentials’ table of contents is based on learning objectives and condensed to cover only the essential topics needed to be successful in calculus. This text offers a fast pace and includes more rigorous topics ideal for students heading into calculus.
Table of Contents
P. Basic Concepts of Algebra
P.1 The Real Numbers; Integer Exponents
P.2 Radicals and Rational Exponents
P.3 Solving Equations
P.4 Inequalities
P.5 Complex Numbers
1. Graphs and Functions
1.1 Graphs of Equations
1.2 Lines
1.3 Functions
1.4 A Library of Functions
1.5 Transformations of Functions
1.6 Combining Functions; Composite Functions
1.7 Inverse Functions
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Exercises for Calculus
Chapter 1 Practice Test A
Chapter 1 Practice Test B
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions
2.3 Dividing Polynomials and the Rational Zeros Test
2.4 Zeros of a Polynomial Function
2.5 Rational Functions
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Exercises for Calculus
Chapter 2 Practice Test A
Chapter 2 Practice Test B
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Rules of Logarithms
3.4 Exponential and Logarithmic Equations and Inequalities
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Exercises for Calculus
Chapter 3 Practice Test A
Chapter 3 Practice Test B
4. Trigonometric Functions
4.1 Angles and Their Measure
4.2 The Unit Circle; Trigonometric Functions
4.3 Graphs of the Sine and Cosine Functions
4.4 Graphs of the Other Trigonometric Functions
4.5 Inverse Trigonometric Functions
4.6 Right-Triangle Trigonometry
4.7 Trigonometric Identities
4.8 Sum and Difference Formulas
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Exercises for Calculus
Chapter 4 Practice Test A
Chapter 4 Practice Test B
5. Applications of Trigonometric Functions
5.1 The Law of Sines and the Law of Cosines
5.2 Areas of Polygons Using Trigonometry
5.3 Polar Coordinates
5.4 Parametric Equations
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Exercises for Calculus
Chapter 5 Practice Test A
Chapter 5 Practice Test B
6. Further Topics in Algebra
6.1 Sequences and Series
6.2 Arithmetic Sequences; Partial Sums
6.3 Geometric Sequences and Series
6.4 Systems of Equations in Two Variables
6.5 Partial-Fraction Decomposition
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Exercises for Calculus
Chapter 6 Practice Test A
Chapter 6 Practice Test B
Appendix: Answers to Practice Problems
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Student's Solutions Manual for Precalculus Essentials
ISBN-13: 978-0-321-81699-3
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Purchase Info
ISBN-10: 0-321-81696-X
ISBN-13: 978-0-321-81696-2
Format: Cloth
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